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Finding the Fourth Proportional to 256,484.49, 353,765.01 and 180,020.64

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Solution

The fourth proportional to 256,484.49, 353,765.01 and 180,020.64 is: 248,299.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,484.49 : 353,765.01 = 180,020.64 : x
  2. Step 2: Convert to fraction form
    256,484.49/353,765.01 = 180,020.64/x
  3. Step 3: Cross multiply
    256,484.49x = 353,765.01 × 180,020.64
  4. Step 4: Simplify right side
    256,484.49x = 63,685,003,509.81
  5. Step 5: Solve for x
    x = 63,685,003,509.81/256,484.49
  6. Step 6: Final answer
    x = 248,299.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.